Details

analyze165.0ms (6.4%)

Algorithm

1×

Search

True	Other	False	Iter
0%	99.9%	0.1%	0
0%	99.9%	0.1%	1
0%	99.9%	0.1%	2
0%	99.9%	0.1%	3
0%	99.9%	0.1%	4
25%	68.7%	6.3%	5
25%	65.6%	9.5%	6
37.5%	39%	23.5%	7
37.5%	36.7%	25.9%	8
43.7%	20.7%	35.6%	9
43.7%	19.3%	37%	10
46.8%	10.6%	42.5%	11
46.8%	9.9%	43.3%	12
48.4%	5.4%	46.2%	13
48.4%	5%	46.6%	14

Compiler

Compiled 17 to 17 computations (0% saved)

sample37.0ms (1.4%)

Algorithm

1×

intervals

Results

22.0ms	256×	body	128	valid
2.0ms	24×	body	128	nan

Compiler

Compiled 33 to 35 computations (-6.1% saved)

simplify9.0ms (0.4%)

Algorithm

1×	egg-herbie

Counts

1 → 1

Iterations

Useful iterations: 0 (3.0ms)

Iter	Nodes	Cost
0	50	23
1	50	23

prune4.0ms (0.2%)

Pruning

1 alts after pruning (1 fresh and 0 done)

	Pruned	Kept	Total
New	0	1	1
Fresh	1	0	1
Picked	0	0	0
Done	0	0	0
Total	1	1	2

Merged error: 1.0b

Counts

2 → 1

Compiler

Compiled 28 to 28 computations (0% saved)

localize13.0ms (0.5%)

Local error

Found 4 expressions with local error:

1.0b	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
1.0b	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
1.0b	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
1.0b	(*.f64 PI.f64 2/3)

rewrite29.0ms (1.1%)

Algorithm

1×	rewrite-expression-head

Rules

16×	`add-sqr-sqrt_binary64`
14×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64`
9×	`times-frac_binary64`
8×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
6×	`add-log-exp_binary64` `pow1_binary64` `div-sub_binary64`
4×	`associate-+r-_binary64`
3×	`associate-/r_binary64` `acos-asin_binary64` `associate-r_binary64` `acos-neg_binary64` `associate-l_binary64` `associate-/l_binary64` `distribute-frac-neg_binary64`
2×	`cos-diff_binary64`
1×	`pow-prod-down_binary64` `flip3-+_binary64` `cbrt-unprod_binary64` `cbrt-undiv_binary64` `unswap-sqr_binary64` `clear-num_binary64` `prod-exp_binary64` `frac-2neg_binary64` `cos-sum_binary64` `div-inv_binary64` `div-exp_binary64` `+-commutative_binary64` `flip-+_binary64` `sum-log_binary64` `*-commutative_binary64`

Counts

4 → 70

Calls

4 calls:

8.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
7.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
4.0ms	(*.f64 PI.f64 2/3)
3.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)

series201.0ms (7.8%)

Counts

4 → 10

Calls

4 calls:

130.0ms	(cos.f64 (+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)))
46.0ms	(+.f64 (*.f64 PI.f64 2/3) (/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3))
25.0ms	(/.f64 (acos.f64 (/.f64 (neg.f64 g) h)) 3)
0.0ms	(*.f64 PI.f64 2/3)

simplify106.0ms (4.1%)

Algorithm

1×	egg-herbie

Counts

80 → 80

Iterations

Useful iterations: 0 (87.0ms)

Iter	Nodes	Cost
0	4989	1420
1	4989	1420

prune90.0ms (3.5%)

Pruning

2 alts after pruning (2 fresh and 0 done)

	Pruned	Kept	Total
New	78	2	80
Fresh	0	0	0
Picked	1	0	1
Done	0	0	0
Total	79	2	81

Merged error: 1.0b

Counts

81 → 2

Compiler

Compiled 1596 to 946 computations (40.7% saved)

localize11.0ms (0.4%)

Local error

Found 2 expressions with local error:

0.0b	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
1.0b	(/.f64 (acos.f64 (/.f64 g h)) 3)

rewrite9.0ms (0.4%)

Algorithm

1×	rewrite-expression-head

Rules

10×	`*-un-lft-identity_binary64` `add-cube-cbrt_binary64` `add-sqr-sqrt_binary64`
9×	`times-frac_binary64`
4×	`add-exp-log_binary64` `add-cbrt-cube_binary64`
3×	`associate-/r_binary64` `associate-/l_binary64`
2×	`add-log-exp_binary64` `pow1_binary64` `acos-asin_binary64` `div-sub_binary64`
1×	`cbrt-undiv_binary64` `cos-diff_binary64` `clear-num_binary64` `frac-2neg_binary64` `div-inv_binary64` `div-exp_binary64`

Counts

2 → 36

Calls

2 calls:

3.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)
3.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))

series101.0ms (3.9%)

Counts

2 → 6

Calls

2 calls:

79.0ms	(cos.f64 (/.f64 (acos.f64 (/.f64 g h)) 3))
21.0ms	(/.f64 (acos.f64 (/.f64 g h)) 3)

simplify139.0ms (5.4%)

Algorithm

1×	egg-herbie

Counts

42 → 42

Iterations

Useful iterations: 0 (128.0ms)

Iter	Nodes	Cost
0	4749	641
1	4749	641

prune44.0ms (1.7%)

Pruning

2 alts after pruning (1 fresh and 1 done)

	Pruned	Kept	Total
New	41	1	42
Fresh	1	0	1
Picked	0	1	1
Done	0	0	0
Total	42	2	44

Merged error: 0b

Counts

44 → 2

Compiler

Compiled 760 to 500 computations (34.2% saved)

localize17.0ms (0.7%)

Local error

Found 3 expressions with local error:

0.0b

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

0.0b

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

0.0b

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

rewrite44.0ms (1.7%)

Algorithm

1×	rewrite-expression-head

Rules

54×	`add-sqr-sqrt_binary64`
51×	`times-frac_binary64`
38×	`add-exp-log_binary64`
36×	`*-un-lft-identity_binary64`
33×	`add-cube-cbrt_binary64`
24×	`cbrt-prod_binary64`
22×	`associate-r_binary64`
18×	`add-cbrt-cube_binary64`
14×	`prod-exp_binary64`
10×	`div-exp_binary64`
9×	`unswap-sqr_binary64`
8×	`cbrt-unprod_binary64` `cbrt-undiv_binary64`
7×	`associate-l_binary64`
6×	`associate-/r*_binary64`
5×	`pow1_binary64`
4×	`rec-exp_binary64`
3×	`add-log-exp_binary64` `associate-/l*_binary64` `div-inv_binary64`
1×	`pow-prod-down_binary64` `acos-asin_binary64` `associate-r/_binary64` `div-sub_binary64` `clear-num_binary64` `frac-2neg_binary64` `frac-times_binary64` `associate-l/_binary64` `*-commutative_binary64`

Counts

3 → 113

Calls

3 calls:

19.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

5.0ms

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

2.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

series273.0ms (10.6%)

Counts

3 → 9

Calls

3 calls:

143.0ms

(cos.f64 (*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))))

88.0ms

(*.f64 (/.f64 1 (*.f64 (cbrt.f64 3) (cbrt.f64 3))) (/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3)))

41.0ms

(/.f64 (acos.f64 (/.f64 g h)) (cbrt.f64 3))

simplify101.0ms (3.9%)

Algorithm

1×	egg-herbie

Counts

122 → 122

Iterations

Useful iterations: 0 (71.0ms)

Iter	Nodes	Cost
0	4949	2453
1	4949	2453

prune173.0ms (6.7%)

Pruning

2 alts after pruning (0 fresh and 2 done)

	Pruned	Kept	Total
New	122	0	122
Fresh	0	0	0
Picked	0	1	1
Done	0	1	1
Total	122	2	124

Merged error: 0b

Counts

124 → 2

Compiler

Compiled 3052 to 2243 computations (26.5% saved)

regimes18.0ms (0.7%)

Compiler: Compiled 70 to 74 computations (-5.7% saved)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

Algorithm

1×	egg-herbie

Iterations

Useful iterations: 0 (1.0ms)

Iter	Nodes	Cost
0	41	31
1	41	31

end0.0ms (0%)

sample997.0ms (38.6%)

Algorithm

1×

intervals

Results

666.0ms	8000×	body	128	valid
40.0ms	564×	body	128	nan

Compiler

Compiled 69 to 71 computations (-2.9% saved)

Details

analyze165.0ms (6.4%)

sample37.0ms (1.4%)

simplify9.0ms (0.4%)

prune4.0ms (0.2%)

localize13.0ms (0.5%)

rewrite29.0ms (1.1%)

series201.0ms (7.8%)

simplify106.0ms (4.1%)

prune90.0ms (3.5%)

localize11.0ms (0.4%)

rewrite9.0ms (0.4%)

series101.0ms (3.9%)

simplify139.0ms (5.4%)

prune44.0ms (1.7%)

localize17.0ms (0.7%)

rewrite44.0ms (1.7%)

series273.0ms (10.6%)

simplify101.0ms (3.9%)

prune173.0ms (6.7%)

regimes18.0ms (0.7%)

bsearch0.0ms (0%)

simplify2.0ms (0.1%)

end0.0ms (0%)

sample997.0ms (38.6%)

Profiling